Garuda - Garba Rujukan Digital

MODEL PREDATOR-PREY DENGAN DUA PREDATOR Danar Agus Nugroho; Rina Reorita
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 5 No 1 (2013): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2013.5.1.2915

This paper discussed about the predator-prey model with two predators. This model is a development of the model given by Korobeinikov and Wake (1999). Dynamic behavior of the model can be determined based on the stability of the equilibrium point. The stability of the equilibrium point of predator-prey model with two predators on the general ecosystem shows that there is no coexistence state (grown in tandem) on both predators and for a long time one of the predators will lead to the local extinction even though there is no competition between the two predators. Furthermore, this model is applied to the brown plant hopper predator, mirid prey and tomcat prey. The result shows that the population of brown planthopper and both of the predators will oscillate towards a particular value with a shorter span of time. In the long term, the number of brown planthopper and mirid will be heading to the equilibrium point, while the tomcat will lead to local extinction.

PENYELESAIAN NUMERIK MODEL PREDATOR-PREY DENGAN SKEMA BEDA HINGGA TAK-STANDAR Rina Reorita; Renny Renny
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 1 (2019)
Publisher : Diponegoro University

Interaction between predator and prey can be represented as a system of non-linear differential equation which is difficult to be solved analytically. In this research, a predator-prey model with an addition of harvesting factor is discretized into a system of difference equation using non-standard finite difference scheme. The analysis result shows that the developed scheme has qualitative property which is consistent to the continuous system.

Penyelesaian Persamaan Kadomtsev Petviashvili Menggunakan Metode Asimtotik Mashuri Mashuri; Rina Reorita; Laely Kurniasih
Jurnal Matematika Integratif Vol 13, No 1: April, 2017
Publisher : Department of Matematics, Universitas Padjadjaran

Persamaan Kadomtsev Petviashvili (KP) adalah persamaan yang diusulkan oleh Boris Kadomtsev dan Vladimir Petviashvili tahun 1970. Persamaan ini merupakan persamaan gelombang dua dimensi. Dalam artikel ini, persamaan KP dengan gelombang satu arahnya adalah persamaan Korteweg de Vries (KdV) diturunkan dan diselesaikan menggunakan metode asimtotik, sebagai inputnya adalah gelombang monokromatik. Dalam artikel ini akan disimulasikan penjalaran gelombang monokromatik pada waktu tertentu serta pada kondisi tertentu.

Pelatihan GeoGebra untuk Mata Pelajaran Geometri di MGMP Matematika SMA Kabupaten Purbalingga Sri Maryani; Nunung Nurhayati; Siti Rahmah Nurshiami; Renny; Rina Reorita
AMMA : Jurnal Pengabdian Masyarakat Vol. 1 No. 05 (2022): AMMA : Jurnal Pengabdian Masyarakat
Publisher : CV. Multi Kreasi Media

Show Abstract | Download Original | Original Source | Check in Google Scholar

Teachers as educators are required to be able to keep up with technological advances, this is in line with the Republic of Indonesia Law no. 14 of 2005 in term of improving the professional competence of teachers. The Covid-19 pandemic has brought changes in term of interacting with technology. It has a positive impact on teachers as educators. For mathematics teachers, the development of technology has become a strategy to introduce a mathematical applications not only to understand but also to obtain the applications. One of the applications that strongly support learning mathematics is the GeoGebra application. This application can provide a mathematical visualization so that teachers as educators and students as learners will more easily to understand mathematical topic more deeply. Some mathematical subjects require visualization to make it easier to understand, for example geometry subject especially in space. This subject is introduced at the beginning in senior high school level. This subject need reasoning, visualization, and imagination to understand the geometric shape. GeoGebra application can improve the reasoning and imagination of students. This community service team provides GeoGebra training for high school mathematics group which called MGMP of Mathematics in Purbalingga Regency especially in Geometry subject. First of all, MGMP of Mathematics in Purbalingga Regency were given a pre-test and post-test regarding their initial knowledge of GeoGebra from 35 trainee of mathematics teachers in Purbalingga Regency. The results of pre-test showed that 66,2% of mathematics teachers were able to correctly answer the questions, while the results of the post-test showed that 83,71% of mathematics teachers were able to correctly answer the same questions. Based on these data, it can be seen that GeoGebra training has increase the ability of mathematics teachers to understand the GeoGebra for geometry subjects by 17,5%.

GeoGebra Sebagai Aplikasi Visual untuk Topik Turunan dan Integral di MGMP Matematika SMA Kabupaten Purbalingga Sri Maryani; Nunung Nurhayati; Siti Rahmah Nurshiami; Renny Renny; Rina Reorita
AMMA : Jurnal Pengabdian Masyarakat Vol. 1 No. 12 (2023): AMMA : Jurnal Pengabdian Masyarakat
Publisher : CV. Multi Kreasi Media

Show Abstract | Download Original | Original Source | Check in Google Scholar

GeoGebra is an interactive geometry software that supports the implementation of mathematics learning. With this software, it is hoped that students' interest in getting to know mathematics more closely will increase through mathematical experiments. GeoGebra can be used not only by students but can also be used by teachers as educators. At present teachers are required to be able to keep up with technological advances, this is in line with RI Law no. 14 of 2005 in terms of increasing the professional competence of teachers. The Covid-19 pandemic has brought changes in terms of interacting with technology. This has a positive impact on teachers as educators. GeoGebra for math teachers is a technological innovation that strongly supports mathematics learning. The GeoGebra application can provide mathematical visualization so that teachers as educators and students as students will find it easier to understand deeper mathematical material. Several math topics exist in senior secondary schools and require visualization to make them easier to understand, including derivative and integral material. Mathematics which is introduced at the high school level (SMA) requires reasoning, visualization and imagination in understanding the concepts of limits and derivatives. This community service (PKM) provides GeoGebra training to high school Mathematics MGMP teachers in Purbalingga Regency for derivative and integral topics. First, high school mathematics MGMP teachers in Purbalingga district were given a pre-test and post-test regarding initial knowledge of derivatives and integrals from 24 representatives of mathematics teachers in Purbalingga district. The results of the pre-test showed that 60.83% of mathematics teachers could answer each point correctly, while the results of the post-test showed an increase in teachers' understanding of derivative and integral topics, namely 80.78% of mathematics teachers were able to answer each point correctly. questions asked. Based on these data, it can be seen that the GeoGebra training provided during this PKM increased the ability of mathematics teachers to understand GeoGebra for derivative and integral topics by 19.95%.

PENENTUAN KRITERIA PENGHENTIAN ITERASI PADA ALGORITMA STROBERI Mutia Nur Estri; Siti Rahmah Nurshiami; Rina Reorita; Muhammad Okky Ibrohim
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 10 No 1 (2018): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2018.10.1.2834

This paper discusses the application of two types of stopping criterion on the strawberry algorithm, which are stopping criteria based on iterative error and Cauchy criterion. Furthermore, the strawberry algorithm program is simulated on the optimization problem with the objective function is quadratic function. The simulation results on optimization problem with the objective function is quadratic function show that strawberry algorithm with stopping criterion based on Cauchy criterion has the best performance, when compared with stopping criterion based on iterative error and without stopping criterion

MODEL PREDATOR-PREY DENGAN DUA PREDATOR Danar Agus Nugroho; Rina Reorita
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 5 No 1 (2013): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2013.5.1.2915

This paper discussed about the predator-prey model with two predators. This model is a development of the model given by Korobeinikov and Wake (1999). Dynamic behavior of the model can be determined based on the stability of the equilibrium point. The stability of the equilibrium point of predator-prey model with two predators on the general ecosystem shows that there is no coexistence state (grown in tandem) on both predators and for a long time one of the predators will lead to the local extinction even though there is no competition between the two predators. Furthermore, this model is applied to the brown plant hopper predator, mirid prey and tomcat prey. The result shows that the population of brown planthopper and both of the predators will oscillate towards a particular value with a shorter span of time. In the long term, the number of brown planthopper and mirid will be heading to the equilibrium point, while the tomcat will lead to local extinction.

KAJIAN PEMODELAN DERET WAKTU: METODE VARIASI KALENDER YANG DIPENGARUHI OLEH EFEK VARIASI LIBURAN Winda Triyani; Rina Reorita
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.1.2948

Calendar variation method is a technique that combines ARIMA modeling and regression modeling. Calendar variation is a cyclical pattern with varying periods due to the different calendar date position for each year. There are two types of calendar variation, trading day variation and holiday variation. In this research, modeling of time series with holiday variation was studied and modification of the modeling was developed for the case of holiday effect due to Eid’s day occur. The case study was conducted to the data of train passenger number at DAOP V Purwokerto. It was found that the last model for the underlying data was the regression model with the residual following seasonal ARIMA (1,1,1)(0,0,1)12 without constant parameter.

PENGARUH PARAMETER PENGONTROL DALAM MENEKAN PENYEBARAN PENYAKIT FLU BURUNG Rina Reorita; Niken Larasati; Renny Renny
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 3 No 1 (2011): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2011.3.1.2970

Indonesia has been being a country which has the most victims of avian influenza case. Avian influenza is caused by influenza virus H5N1 type. This virus can be transmitted from infected poultry to susceptible poultry and infected poutry to susceptible human. This paper describes an SIR (Susceptible, Infection, Recovery) mathematic model for the spread of avian influenza disease. The basic reproduction number will be obtained for analyzing what are the factors that can influence the epidemic. By the Pontryagin Maximum Principle, it can be seen how is the influence of vaccine as a control to the spread of disease.

PREDIKSI BERAT TUBUH SAPI PERAH FRIESIAN-HOLSTEIN MENGGUNAKAN MODEL VON BERTALANFFY Larasati, Niken; Sulistyoningrum, Tri Puji; Estri, Mutia Nur; Sihwaningrum, Idha; Reorita, Rina
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 13 No 2 (2021): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2021.13.2.4949

ABSTRACT. In this paper, we predict the weight of Friesian-Holstein dairy cows by using Von Bertalanffy model. The metabolism rate in the model includes the anabolism and catabolism rate. The prediction is important to determine the age of the first cows mating since an improper age of the first mating will result in the low production of milk and a non ideal weight of the cow calves. The result of the simulation shows that the constant of anabolism is 0.3854, and the constant of catabolism is 0.0438. By using these constans, it is found that the result of the prediction has an average absolute error of 4,9708% (6,5358 kg). Furthermore, it is found that the cows can be mated when their weight is between 273,9152 kg and 303,2340 kg, that is when their age is between 59 and 66 weeks (or between 14 and 16 months).Keywords: Von Bertalanffy’s model, Friesian-Holstein dairy cow, anabolism and catabolism, age of mating, weight. ABSTRAK. Pada makalah ini dibahas mengenai prediksi berat tubuh sapi perah Friesian-Holstein menggunakan model Von Bertalanffy. Laju metabolisme pada model terdiri dari anabolisme dan katabolisme. Prediksi berat tubuh sapi perah ini penting karena dapat digunakan untuk menentukan usia kawin pertama kali sapi perah FH. Usia kawin pertama yang tidak tepat dapat menyebabkan produksi susu yang rendah dan tidak tercapainya berat tubuh pedet yang ideal. Dari hasil simulasi diperoleh konstanta anabolisme sebesar 0,3854 dan konstanta katabolisme sebesar 0,0438. Dengan konstanta tersebut, diperoleh rata-rata kesalahan absolut sebesar 4,9708% (6,5358 kg). Selanjutnya, diperoleh hasil bahwa sapi dapat dikawinkan pada saat memiliki berat tubuh 273,9152 kg sampai 303,2340 kg dengan umur 59-66 minggu (14-16 bulan).Kata Kunci: Model Von Bertalanffy, sapi perah Friesian-Holstein, anabolisme dan katabolisme, usia kawin, berat tubuh.

Title

Found 22 Documents
Search

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Title Search

Found 22 Documents Search

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Title

Found 22 Documents
Search